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Exploring Centripetal Force: Key Concepts and Discussion Questions

This discussion focuses on centripetal force (Fc) and its relationship with various factors such as mass, radius, and velocity. We will explore crucial questions including: What are the reasons for plotting Fc against velocity? Is there a mathematical relationship between Fc and mass or radius? We will refine the equation Fc = mv²/r and relate it to circular motion concepts like displacement, velocity, and acceleration, including its alignment with Newton’s 2nd Law. A sample problem involving a car rounding a curve will help illustrate these principles in practice.

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Exploring Centripetal Force: Key Concepts and Discussion Questions

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Presentation Transcript

  1. Centripetal Force

  2. The Plot Thickens

  3. Discussion Questions • What are the reasons for plotting Fc = v ? • Is there a mathematical relationship? If so, what is it? • Is there a relation ship between Fc and mass? • If so, what is it? • Is there a relation ship between Fc and radius? • If so, what is it?

  4. Centripetal Force • Fc = (mv2)/r

  5. Re-fining the Equation • Displacement is circular so it is the circumference of the circle • •Velocity is displacement over time • •Acceleration is change in velocity over time

  6. How does this relate to • Newton’s 2nd Law?

  7. A Sample to Try • •A 13 500 N car traveling at 50.0 km/hr rounds a curve of radius 200 m. –Determine the centripetal acceleration of the car –Determine the centripetal force –

  8. Solution • The real answer is… the centripetal acceleration

  9. How fast can I do the curve? • What is the minimum coefficient of friction between the tires and the road so the car can round the curve safely?

  10. Flat Curve

  11. Banked Curve

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